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The Art of Computer Programming, Volume 4, Fascicle 6: Satisfiability

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This multivolume work on the analysis of algorithms has long been recognized as the definitive description of classical computer science. The four volumes published to date already comprise a unique and invaluable resource in programming theory and practice. Countless readers have spoken about the profound personal influence of Knuth s writings. Scientists have marveled at This multivolume work on the analysis of algorithms has long been recognized as the definitive description of classical computer science. The four volumes published to date already comprise a unique and invaluable resource in programming theory and practice. Countless readers have spoken about the profound personal influence of Knuth s writings. Scientists have marveled at the beauty and elegance of his analysis, while practicing programmers have successfully applied his cookbook solutions to their day-to-day problems. All have admired Knuth for the breadth, clarity, accuracy, and good humor found in his books. To continue the fourth and later volumes of the set, and to update parts of the existing volumes, Knuth has created a series of small books called fascicles, which are published at regular intervals. Each fascicle encompasses a section or more of wholly new or revised material. Ultimately, the content of these fascicles will be rolled up into the comprehensive, final versions of each volume, and the enormous undertaking that began in 1962 will be complete. Volume 4 Fascicle 6 This fascicle, brimming with lively examples, forms the middle third of what will eventually become hardcover Volume 4B. It introduces and surveys Satisfiability, one of the most fundamental problems in all of computer science: Given a Boolean function, can its variables be set to at least one pattern of 0s and 1s that will make the function true? Satisfiability is far from an abstract exercise in understanding formal systems. Revolutionary methods for solving such problems emerged at the beginning of the twenty-first century, and they ve led to game-changing applications in industry. These so-called SAT solvers can now routinely find solutions to practical problems that involve millions of variables and were thought until very recently to be hopelessly difficult. Fascicle 6 presents full details of seven different SAT solvers, ranging from simple algorithms suitable for small problems to state-of-the-art algorithms of industrial strength. Many other significant topics also arise in the course of the discussion, such as bounded model checking, the theory of traces, Las Vegas algorithms, phase changes in random processes, the efficient encoding of problems into conjunctive normal form, and the exploitation of global and local symmetries. More than 500 exercises are provided, arranged carefully for self-instruction, together with detailed answers. "


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This multivolume work on the analysis of algorithms has long been recognized as the definitive description of classical computer science. The four volumes published to date already comprise a unique and invaluable resource in programming theory and practice. Countless readers have spoken about the profound personal influence of Knuth s writings. Scientists have marveled at This multivolume work on the analysis of algorithms has long been recognized as the definitive description of classical computer science. The four volumes published to date already comprise a unique and invaluable resource in programming theory and practice. Countless readers have spoken about the profound personal influence of Knuth s writings. Scientists have marveled at the beauty and elegance of his analysis, while practicing programmers have successfully applied his cookbook solutions to their day-to-day problems. All have admired Knuth for the breadth, clarity, accuracy, and good humor found in his books. To continue the fourth and later volumes of the set, and to update parts of the existing volumes, Knuth has created a series of small books called fascicles, which are published at regular intervals. Each fascicle encompasses a section or more of wholly new or revised material. Ultimately, the content of these fascicles will be rolled up into the comprehensive, final versions of each volume, and the enormous undertaking that began in 1962 will be complete. Volume 4 Fascicle 6 This fascicle, brimming with lively examples, forms the middle third of what will eventually become hardcover Volume 4B. It introduces and surveys Satisfiability, one of the most fundamental problems in all of computer science: Given a Boolean function, can its variables be set to at least one pattern of 0s and 1s that will make the function true? Satisfiability is far from an abstract exercise in understanding formal systems. Revolutionary methods for solving such problems emerged at the beginning of the twenty-first century, and they ve led to game-changing applications in industry. These so-called SAT solvers can now routinely find solutions to practical problems that involve millions of variables and were thought until very recently to be hopelessly difficult. Fascicle 6 presents full details of seven different SAT solvers, ranging from simple algorithms suitable for small problems to state-of-the-art algorithms of industrial strength. Many other significant topics also arise in the course of the discussion, such as bounded model checking, the theory of traces, Las Vegas algorithms, phase changes in random processes, the efficient encoding of problems into conjunctive normal form, and the exploitation of global and local symmetries. More than 500 exercises are provided, arranged carefully for self-instruction, together with detailed answers. "

36 review for The Art of Computer Programming, Volume 4, Fascicle 6: Satisfiability

  1. 4 out of 5

    Paul Floyd

    Every new volume of Knuth gets harder and harder. Good stuff, but getting far from my home ground of Seminumerical Algorithms.

  2. 5 out of 5

    Fenil

  3. 4 out of 5

    Alberto Trombetta

  4. 5 out of 5

    Janos

  5. 4 out of 5

    Ozan Erdem

  6. 5 out of 5

    Arthur Strong

  7. 4 out of 5

    Carter

  8. 4 out of 5

    Paul Vittay

  9. 5 out of 5

    Jonatan Westholm

  10. 4 out of 5

    Susan

  11. 5 out of 5

    Pim

  12. 5 out of 5

    Andrei

  13. 4 out of 5

    Lee

  14. 5 out of 5

    Sven

  15. 5 out of 5

    Anas AL-zghoul

  16. 4 out of 5

    Chitrank Dixit

  17. 5 out of 5

    Andre Andrade

  18. 4 out of 5

    Venkatesh-Prasad

  19. 5 out of 5

    淑刚 范

  20. 4 out of 5

    Agustín De Casamajor

  21. 4 out of 5

    Jim

  22. 5 out of 5

    Marwan

  23. 5 out of 5

    Jaehyun

  24. 4 out of 5

    Sander Harjak

  25. 5 out of 5

    Pim

  26. 4 out of 5

    Dale Alleshouse

  27. 5 out of 5

    Andrew Hunter

  28. 4 out of 5

    Aidin

  29. 5 out of 5

    Alan

  30. 5 out of 5

    Joel

  31. 4 out of 5

    Mike Rocke

  32. 5 out of 5

    Aleksi

  33. 5 out of 5

    Roumen Guha

  34. 4 out of 5

    Marcus Maelstrom

  35. 5 out of 5

    Daniel

  36. 4 out of 5

    Neal Gafter

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